2 papers
math.AP2026
On the non-uniqueness of solutions of the axi-symmetric swirl-free Navier-Stokes equations, I
Alexandru D. Ionescu, Hao Jia, Stan Palasek
In this paper we construct numerically a new class of unstable self-similar solutions of the incompressible Navier-Stokes equations in . Our solutions are axially sym…
math.AP2025
Asymptotic stability of the Kolmogorov flow at high Reynolds numbers
Qi Chen, Hao Jia, Dongyi Wei +1
In this paper we prove the asymptotic stability of the Kolmogorov flow on a non-square torus for perturbations satisfying , where is th…